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Answer :
To find the number of pounds of type B coffee used, create a system of equations and solve for the unknown quantity, 'x'.
By substituting the values into the equations, it can be determined that Shands used 58.75 pounds of type B coffee for the blend.
To find the number of pounds of type B coffee used, we can create a system of equations based on the information given.
Let's denote the unknown quantity as 'x' (pounds of type B coffee used). From the information given, we can set up the following equations:
Equation 1: 4.05x + 5.25(157 - x) = 752.25
Equation 2: x = the number of pounds of type B coffee used
To solve this system, we can multiply out and simplify the equation:
4.05x + 5.25(157 - x) = 752.25
4.05x + 822.75 - 5.25x = 752.25
Combine like terms:
-1.20x + 822.75 = 752.25
Subtract 822.75 from both sides:
-1.20x = -70.50
Divide both sides by -1.20 to solve for 'x':
x = -70.50 / -1.20 = 58.75.
Therefore, Shands used 58.75 pounds of type B coffee for the blend.
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